THEORY OF THE RELAXATION SPECTRA OF CROSS-LINKED POLYMERS IN THE PRESENCE OF STRUCTURAL AND DYNAMIC HETEROGENEITYYa. Ya. Gotlib, A. A. Gurtovenko, I. A. Torchinskii, V. V. Toshchevikov, and V. A. Shevelev UDC 541.64:539.199 The spectra of relaxation times of polymer meshes in the presence of various types of structural and dynamic heterogeneity have been considered. The influence of the orientation ordering of elements of macromolecules between the mesh nodes on the intrachain spectrum has been investigated. Analysis of the interchain large-scale processes in polymer meshes containing rodlike inclusions has been carried out. It has been shown that the presence of structural and dynamic heterogeneity of the above types along with the previously considered domain structure of cross-linked polymers leads to a fine structure of the relaxation spectra of polymer meshes. Institute of High-Molecular Compounds, Russian Academy of Sciences, St. Petersburg; email: email@example.com. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 76, No. 3, pp. 9-14, May-June, 2003. Original article submitted October 4, 2002.